3884887600 has 240 divisors, whose sum is σ = 10880303616. Its totient is φ = 1317376000.

The previous prime is 3884887597. The next prime is 3884887607. The reversal of 3884887600 is 67884883.

It is not an unprimeable number, because it can be changed into a prime (3884887607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12491445 + ... + 12491755.

Almost surely, 2^3884887600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3884887600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5440151808).

3884887600 is an abundant number, since it is smaller than the sum of its proper divisors (6995416016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3884887600 is a wasteful number, since it uses less digits than its factorization.

3884887600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 52.

The square root of 3884887600 is about 62328.8665066195. The cubic root of 3884887600 is about 1572.0251362667.

The spelling of 3884887600 in words is "three billion, eight hundred eighty-four million, eight hundred eighty-seven thousand, six hundred".